Perturbations in f(T) cosmology and the spin connection

Abstract

In this short paper we explain how the spin connection variables should be introduced into the perturbation theory of the spatially flat cosmology in f(T) gravity with the background tetrad $e_{\mu }^a=a(t)\cdot {\delta }_{\mu }^a$ and zero background spin connection. In passing, we also correct some small mistakes in our previous work on this subject.

7 pages; minor changes

References in corpus (3)

• Cosmological perturbations in f(T) gravity
• Remnant group of local Lorentz transformations in f(T) theories
• McVittie solution in f(T) gravity

Cited by in corpus (17)

• Foundational issues in f(T) gravity theory
• Review of the Hamiltonian analysis in teleparallel gravity
• The effective field theory approach to the strong coupling issue in $f(T)$ gravity
• Issues of Lorentz-invariance in f(T) gravity and calculations for spherically symmetric solutions
• Generating primordial fluctuations from modified teleparallel gravity with local Lorentz-symmetry breaking
• Complete classification of cosmological teleparallel geometries
• General cosmological perturbations in teleparallel gravity
• Thick accretion disk configurations in the Born-Infeld teleparallel gravity
• Stability of symmetric teleparallel scalar-tensor cosmologies with alternative connections
• The geometrical meaning of the Weitzenböck connection
• A geometric view on local Lorentz transformations in teleparallel gravity
• Teleparallel bigravity
• Degrees of Freedom in modified Teleparallel Gravity
• Background-dependent and classical correspondences between $f(Q)$ and $f(T)$ gravity
• Spin connection and cosmological perturbations in scalar-torsion gravity
• Twisting inflation to sub-Planckian axion decay constants
• More on Bianchi I spacetimes and f(T) gravity